[代數] 一題代數

[adcores5 (adcores5)]

let K be a subfield of C which is not contained in R.
 Prove that K is a dense subset of C

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◆ From: 140.119.49.38
→ empty24     :C/R是finite extension,所以K/R也是
→ empty24     :推得K要不然是R要不然跟C同構,因此K就是C
→ empty24     :抱歉 看錯了
推 LimSinE     :設K'= Closure of K 是體，Q<K故R<K', R=/=K'→K'=C
推 CFE220      :each subfield of C contains every rational number
→ CFE220      :朝這方向思考會如何勒?